Plenty of possibilities? Such as?
I think that technically there are no possibilities at all since nothing can falsify something that is true.
There are of course some few "dinosaurs" who would dispute that... do in fact dispute it! Not that they ever come with any facts.
One argument we see here is that the ToE just modifies the theory to accommodate anything that might serve to falsify. That isnt how it works of course but try to change someone's set idea!
There are lots of possibilities (if you grant that they are possible) that would falsify ToE in anything resembling its present form. Probalby kick it out completely other than the bit of "microevolution" that seems acceptable to the most hardcore theists.
The one thing I can think of that would do this best would be if someone found an assemblage of fossils such as might have been swept together by the "flood". Get me Dimetrodon, trilobite, chicken, donkey, wolly mammoth, eyrypterid, Neanderthal, etc, some assemblage like that;
maybe a protoceratops with a triceratops and an Eohippus with a modern horse. Get some such assemblage as that in one fossil bed and I will say the jig is up on evolution and that geological dating is full of Indricotherium droppings.
Of course, if Peter Pan shows up in my apartment window and asks if I'd like to go to never never land that will also shake up my beliefs. And hey, I might end up getting that tropical vacation that I THOUGHT I was getting for spring break...